新 G 双拉普拉斯变换与一维耦合正弦-戈登方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-06-05 DOI:10.3390/axioms13060385

Hassan Eltayeb, S. Mesloub

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引用次数: 0

摘要

本文建立了一种新技术，称为 G 双拉普拉斯变换。该技术是广义拉普拉斯变换的扩展。我们通过实例和与 G-double-Laplace 变换有关的各种定理来研究它的特性，这些定理已得到解决和证明。最后，我们应用 G 双拉普拉斯变换分解法求解非线性正弦-戈登方程和耦合正弦-戈登方程。这种方法是 G 双拉普拉斯变换与分解法的结合。此外，还研究了一些实例，以确定该技术的准确性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The New G-Double-Laplace Transforms and One-Dimensional Coupled Sine-Gordon Equations

This paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform. We study its properties with examples and various theorems related to the G-double-Laplace transform that have been addressed and proven. Finally, we apply the G-double-Laplace transform decomposition method to solve the nonlinear sine-Gordon and coupled sine-Gordon equations. This method is a combination of the G-double-Laplace transform and decomposition method. In addition, some examples are examined to establish the accuracy and effectiveness of this technique.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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